3(6x+4yi)=9-24i

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Solution for 3(6x+4yi)=9-24i equation:


Simplifying
3(6x + 4yi) = 9 + -24i

Reorder the terms:
3(4iy + 6x) = 9 + -24i
(4iy * 3 + 6x * 3) = 9 + -24i
(12iy + 18x) = 9 + -24i

Solving
12iy + 18x = 9 + -24i

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '24i' to each side of the equation.
12iy + 24i + 18x = 9 + -24i + 24i

Reorder the terms:
24i + 12iy + 18x = 9 + -24i + 24i

Combine like terms: -24i + 24i = 0
24i + 12iy + 18x = 9 + 0
24i + 12iy + 18x = 9

Add '-18x' to each side of the equation.
24i + 12iy + 18x + -18x = 9 + -18x

Combine like terms: 18x + -18x = 0
24i + 12iy + 0 = 9 + -18x
24i + 12iy = 9 + -18x

Reorder the terms:
-9 + 24i + 12iy + 18x = 9 + -18x + -9 + 18x

Reorder the terms:
-9 + 24i + 12iy + 18x = 9 + -9 + -18x + 18x

Combine like terms: 9 + -9 = 0
-9 + 24i + 12iy + 18x = 0 + -18x + 18x
-9 + 24i + 12iy + 18x = -18x + 18x

Combine like terms: -18x + 18x = 0
-9 + 24i + 12iy + 18x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 8i + 4iy + 6x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + 8i + 4iy + 6x)' equal to zero and attempt to solve: Simplifying -3 + 8i + 4iy + 6x = 0 Solving -3 + 8i + 4iy + 6x = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8i + 4iy + 3 + 6x = 0 + 3 Reorder the terms: -3 + 3 + 8i + 4iy + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8i + 4iy + 6x = 0 + 3 8i + 4iy + 6x = 0 + 3 Combine like terms: 0 + 3 = 3 8i + 4iy + 6x = 3 Add '-6x' to each side of the equation. 8i + 4iy + 6x + -6x = 3 + -6x Combine like terms: 6x + -6x = 0 8i + 4iy + 0 = 3 + -6x 8i + 4iy = 3 + -6x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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